Atkin-Lehner |
2- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
8954g |
Isogeny class |
Conductor |
8954 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36432 |
Modular degree for the optimal curve |
Δ |
-3838738840948 = -1 · 22 · 1110 · 37 |
Discriminant |
Eigenvalues |
2- -2 0 4 11- -2 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-44228,-3585020] |
[a1,a2,a3,a4,a6] |
j |
-368883625/148 |
j-invariant |
L |
2.9628334271608 |
L(r)(E,1)/r! |
Ω |
0.16460185706449 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71632r1 80586n1 8954d1 |
Quadratic twists by: -4 -3 -11 |